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Blow-up for a degenerate parabolic equation with a nonlocal source

โœ Scribed by Qilin Liu; Youpeng Chen; Chunhong Xie

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
156 KB
Volume
285
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

In this paper, we investigate the blowup properties of the positive solutions to the following nonlocal degenerate parabolic equation

with homogeneous Dirichlet boundary conditions in the interval (0, l), where 0 < ฮฑ < 2, p 1 q 1 > m > 1. We first establish the local existence and uniqueness of its classical solutions. Then we show that the positive solution blows up in finite time if the initial datum is sufficient large. Finally, we prove that the blow-up set is the whole interval and we also obtain the estimates of the blow-up rate.

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